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TheinversioninvariancevectorcanbeusedEmphasizinghands-oncontactwiththemusic–throughplaying,singing,listening,andanalyzing–itprovidessixchapters ontheory,eachillustratedwithmusicalexamplesandfullyworked-outTheintervalvectorcanbeusedtodeterminethenumberofcommontonesbetweenagiven setanditstranspositionThenumberofcommontonesatagiventranspositionisequivalenttothenumberoftimesthetranspositionalvalueoccursintheset (exceptatic6,which=2(eachmapsontotheother))